$2,000,000 is what percent of $10,000,000?

Answer:

2 and 3

Step-by-step explanation:

ax-y=b (Divide by a)

x-y=b/a

x=b+y/a

ax-y=b

-y=b-ax (Multiply by -1)

y=-b+ax

y=ax-b

The given expression is $\frac{6}{t}+\frac{8}{u}-\frac{9}{v}$ and we need to rewrite this expression without any denominator in it. Step-by-step explanation: We can use the concept of the Least Common Multiple (LCM) of the denominators to remove the fractions in the expression. By taking the LCM of the denominators of the given expression, we have,$LCM\text{ of }t, u, v = t \cdot u \cdot v$ Now, multiplying each term of the given expression with the LCM $t \cdot u \cdot v$, we get,$\frac{6}{t}\cdot t \cdot u \cdot v+\frac{8}{u}\cdot t \cdot u \cdot v-\frac{9}{v}\cdot t \cdot u \cdot v$$6uv + 8tv - 9tu$$\therefore \text{The given expression without any denominator is } 6uv + 8tv - 9tu.$Thus, we can rewrite the given expression $\frac{6}{t}+\frac{8}{u}-\frac{9}{v}$ without any denominator in it as $6uv + 8tv - 9tu$.

LCM (a,b) in mathematics stands for the least common multiple, or LCM, of two numbers, such as a and b. The smallest or least positive integer that is divisible by both a and b is known as the LCM. Take the positive integers 4 and 6 as an illustration.

There are four multiples: 4,8,12,16,20,24.

6, 12, 18, and 24 are multiples of 6.

12, 24, 36, 48, and so on are frequent multiples for the numbers 4 and 6. In that lot, 12 would be the least frequent number. Now let's attempt to get the LCM of 24 and 15.

LCM of 24 and 15 is equal to 222235 = 120.

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Answer:

90-12+5 = 83

Step-by-step explanation:

Answer:

x = 22

Step-by-step explanation:

(88 - x)° = 3x°

-x - 3x = -88

-4x = -88

\(x = \frac{-88}{-4} \\\\ x = 22\)

Step-by-step explanation:

use the formula a+(n-1)d

a=(first value in sequence)=1

n=100(the term you are finding)

d=(difference)(it is increasing by 10

substitute the value in the formula

1+(100-1)10

100th term=991

Answer: The answer and explanation is in the image provided.

The percent increase in the cost of the uniform from last year to this year is 25%.

To find the percent increase in the cost of the uniform from last year to this year, we need to calculate the difference between the two prices, divide it by the original price, and then multiply by 100 to express the result as a percentage.

The difference between this year's price and last year's price is:

$65 - $52 = $13

The original price (last year's price) is $52.

So the percent increase in the cost of the uniform is:

percent increase = (difference / original price) x 100

percent increase = ($13 / $52) x 100

percent increase = 0.25 x 100

percent increase = 25%

Therefore, the percent increase in the cost of the uniform from last year to this year is 25%.

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Answer:

A number that can be made by dividing two integers (an integer is a number with no fractional part). The word comes from "ratio". But π (pi) is not a rational number, it is an "Irrational Number".

Step-by-step explanation:

mark me please

Answer:

Since rational numbers are all numbers that can be written as a fraction, and includes positive numbers, negative numbers and the 0. We can conclude that since -3.4 can be written as a fraction it is a rational number.

Answer:

Positive Exponent form: \(\frac{1}{5^{4} }\) Expanded Form: 1/(5×5×5×5) Simplified Form: \(\frac{1}{625}\)

The degree of the variable that appears in the polynomial has the most power. The leading term is the one with the highest degree or the one with the highest power of the variable. The coefficient of the leading term is the leading coefficient.

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable.

For instance, the polynomial 2x+5 has an exponent of 1.

A polynomial is not an expression with a variable that has fractional or negative exponents, divides by a variable, or is contained inside a radical.

The biggest power of the variable that occurs in the polynomial is its degree.

The term with the highest degree—i.e., the term with the largest power of the variable—is the leading term.

The leading coefficient is the leading term's coefficient.

Therefore, the degree of the variable that appears in the polynomial has the most power. The leading term is the one with the highest degree or the one with the highest power of the variable. The coefficient of the leading term is the leading coefficient.

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Answer:

Should be 9 mph

Step-by-step explanation:

2.25 miles divided by .25 hours will give you a speed measured in miles per hour.

The amplitude of the wave is 17 cm, the wavelength is approximately 0.390 cm, the period is approximately 0.449 s, and the speed is approximately 0.868 cm/s.

In the equation given: y = (17 cm)cos(5.1 cmπ​x−14 sπ​t)

Part A: The amplitude of the wave is the coefficient of the cosine function, which is the value in front of it. In this case, the amplitude is 17 cm.

Amplitude (A) = 17 cm

Part B: The wavelength of the wave can be determined by looking at the argument of the cosine function. In this case, the argument is 5.1 cmπ​x. The wavelength is given by the formula:

λ = 2π / k

where k is the coefficient in front of x. In this case, k = 5.1 cmπ.

Wavelength (λ) = 2π / 5.1 cmπ ≈ 0.390 cm

Wavelength (λ) ≈ 0.390 cm

Part C: The period of the wave (T) is the time it takes for one complete oscillation. It can be calculated using the formula:

T = 2π / ω

where ω is the coefficient in front of t. In this case, ω = 14 sπ.

Period (T) = 2π / 14 sπ ≈ 0.449 s

Period (T) ≈ 0.449 s

Part D: The speed of the wave (v) can be calculated using the formula:

v = λ / T

where λ is the wavelength and T is the period.

Speed (v) = 0.390 cm / 0.449 s ≈ 0.868 cm/s

Speed (v) ≈ 0.868 cm/s

Therefore, the amplitude of the wave is 17 cm, the wavelength is approximately 0.390 cm, the period is approximately 0.449 s, and the speed is approximately 0.868 cm/s.

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a. The value corresponding to surviving the year is $0, and the value corresponding to not surviving the year is -$90,000.

b. The expected value for the 33-year-old male purchasing the policy is -$579.06.

c. Yes, the insurance company can expect to make a profit from many such policies because the expected profit per 33-year-old male insured for 1 year is $408.06.

a. The monetary value corresponding to surviving the year is $0 because the individual would not receive any payout from the insurance policy if he survives. The monetary value corresponding to not surviving the year is -$90,000 because in the event of the individual's death, the policy pays out a death benefit of $90,000.

b. To calculate the expected value for the 33-year-old male purchasing the policy, we need to multiply the probability of each event by its corresponding monetary value and sum them up. The probability of surviving the year is 0.9988, and the value corresponding to surviving is $0. The probability of not surviving the year is (1 - 0.9988) = 0.0012, and the value corresponding to not surviving is -$90,000.

Expected value = (Probability of surviving * Value of surviving) + (Probability of not surviving * Value of not surviving)

Expected value = (0.9988 * $0) + (0.0012 * -$90,000)

Expected value = -$108 + -$471.06

Expected value = -$579.06 (rounded to the nearest cent)

c. The insurance company can expect to make a profit from many such policies because the expected value for the 33-year-old male purchasing the policy is negative (-$579.06). This means, on average, the insurance company would pay out $579.06 more in claims than it collects in premiums for each 33-year-old male insured for 1 year. Therefore, the insurance company expects to make an average profit of $579.06 on every 33-year-old male it insures for 1 year.

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Answer: The square roots, cube roots, etc., of natural numbers are irrational numbers

Step-by-step explanation: if their exact values cannot be obtained. of doesn't exist. A non-terminating and non-recurring decimal is an irrational number.

the maximum dimensions of the box would be 60 cm x 60 cm x 60 cm in order to have the maximum allowable volume while still meeting the airline's luggage restrictions.

If the length and width of the box are equal, we can call the length and width x. Then, the height of the box would also be x in order to maximize the volume.

The sum of the length, width, and height of the box would be:

x + x + x = 3x

We know that the sum of the length, width, and height must be less than or equal to 180 cm. So:

3x ≤ 180

Simplifying, we get:

x ≤ 60

Therefore, the maximum dimensions of the box would be 60 cm x 60 cm x 60 cm in order to have the maximum allowable volume while still meeting the airline's luggage restrictions.

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Dimensions, the sum of the length, width, and height is 360 cm.

Let's assume that the length, width, and height of the box are all equal to

x cm. Since the length and width are equal, we can write:

Length = Width = x

The volume of the box can be expressed as:

Volume = Length x Width x Height

Volume = x × x × (180 - 2x) (since the height is equal to 180 - length - width)

To find the dimensions of the box that would give us the maximum volume, we need to differentiate the volume function with respect to x and set it equal to zero:

\(dV/dx = 3x^2 - 360x = 0\)

Solving this equation, we get:

x = 0 or x = 120

Since x cannot be zero, the only possible value for x is 120 cm. Therefore, the dimensions of the box should be:

Length = Width = Height = 120 cm

With these dimensions, the sum of the length, width, and height is:

Length + Width + Height = 120 + 120 + 120 = 360 cm

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Answer:

y=−2.984x+112.38

Step-by-step explanation:

Whether or not you can add the 600 square feet of attic space to the total livable square feet depends on the local building code.

  the standards used by your local Multiple Listing Service (MLS). In general, for an area to be considered livable square footage, it must meet certain requirements such as having a permanent heat source, adequate ceiling height, and suitable access.

If the finished attic space meets these requirements and is considered livable square footage according to local standards, then it can be added to the total livable square footage of the home. However, if the space does not meet the necessary criteria, it cannot be included in the total livable square footage.

It's important to check with your local MLS or a licensed appraiser to determine if the finished attic spacecan be included in the total livable square footage of the home.

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Answer:

61

Step-by-step explanation:

60^2+11^2=z

3721=z^2

z=61

Hope this helps!

Answer:

1) AD = 9 in

2) DE = 9.25 in

3) ∠EDC = 36°

4) ∠AEB = 108°

5) 11.5 in

Step-by-step explanation:

1) AD = BC = 9in

2) AC = BD (diagonals are equal)

⇒ BD = 14.25

⇒ BE + DE = 14.25

⇒ 5 + DE = 14.25

DE = 9.25

3) Since AB ║CD,

∠ABE = ∠EDC = 36°

4) ∠ABE = ∠BAE = 36°

Also ∠ABE + ∠BAE + ∠AEB = 180 (traingle ABE)

⇒ 36 + 36 + ∠AEB = 180

∠AEB = 108

5) midsegment = (AB + CD)/2

= (8 + 15)/2

11.5

Answer: Root 16 = 4, 4*1/2= 2

5/9*1/2= 5/18

Root 3 = 1.73205...*1/2= 0.866025...

Root 3 is the answer

Answer:

There are 104857600 (binary) or 100000000 (decimal).

Step-by-step explanation:

1 GB is equal to 10^6 kb.

Hope this helps!

Answer: A

Step-by-step explanation:

The width of the new rectangular field would be 0 meters, which means it would essentially be a line segment.

To find the length and width of another rectangular field that has the same perimeter but a larger area, we can use the following steps:

1. Calculate the perimeter of the given rectangular field:

  Perimeter = 2 * (Length + Width)

            = 2 * (120 meters + 80 meters)

            = 2 * 200 meters

            = 400 meters

2. Divide the perimeter by 2 to find the equal sides of the new rectangular field. Since the perimeter is divided equally into two sides, each side would be half of the perimeter length:

  Side length = Perimeter / 2

             = 400 meters / 2

             = 200 meters

3. Now, we have the side length of the new rectangular field. However, we need to determine the length and width that would yield a larger area. One way to achieve this is to make one side longer and the other side shorter.

4. Let's assume the length of the new rectangular field is 200 meters. Since both sides have the same length, the width can be calculated using the formula for the perimeter:

  Width = Perimeter / 2 - Length

        = 400 meters / 2 - 200 meters

        = 200 meters - 200 meters

        = 0 meters

5. Therefore, the width of the new rectangular field would be 0 meters, which means it would essentially be a line segment. However, note that the question asks for a rectangular field with a larger area. Since the width cannot be zero, we can conclude that it is not possible to have a rectangular field with the same perimeter but a larger area than the given field.

In summary, it is not possible to find another rectangular field with the same perimeter but a larger area than the rectangular field with dimensions 80 meters wide and 120 meters long.

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a) It would take Anya approximately 4 years to accumulate $40,000 with an annual interest rate of 12%. b) Anya must earn an annual rate of return of approximately 12.6% to save $40,000 in 3 years.

a) To calculate the number of years it would take Anya to accumulate $40,000, we can use the future value formula for compound interest:

Future Value = Present Value * (1 + interest rate)ⁿ

Where:

Future Value = $40,000

Present Value = $25,000

Interest rate = 12% = 0.12

n = number of years

Substituting the given values into the formula, we have:

$40,000 = $25,000 * (1 + 0.12)ⁿ

Dividing both sides of the equation by $25,000, we get:

(1 + 0.12)ⁿ = 40,000 / 25,000

(1.12)ⁿ = 1.6

To solve for n, we can take the logarithm of both sides of the equation:

n * log(1.12) = log(1.6)

Using a calculator, we find that log(1.12) ≈ 0.0492 and log(1.6) ≈ 0.2041. Therefore:

n * 0.0492 = 0.2041

n = 0.2041 / 0.0492 ≈ 4.15

b) To calculate the required rate of return for Anya to save $40,000 in just 3 years, we can rearrange the future value formula:

Future Value = Present Value * (1 + interest rate)ⁿ

$40,000 = $25,000 * (1 + interest rate)³

Dividing both sides of the equation by $25,000, we have:

(1 + interest rate)³ = 40,000 / 25,000

(1 + interest rate)³ = 1.6

Taking the cube root of both sides of the equation:

1 + interest rate = ∛1.6

Subtracting 1 from both sides, we get:

interest rate = ∛1.6 - 1

Using a calculator, we find that ∛1.6 ≈ 1.126. Therefore:

interest rate = 1.126 - 1 ≈ 0.126

To express the interest rate as a percentage, we multiply by 100:

interest rate = 0.126 * 100 = 12.6%

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Justin and ruby are currently sharing sweets out after school in a ratio of 1:2 respectively. after buying 20 more sweets and sharing them evenly, they now have a ratio of 3:4. So, Justin initially had 5 sweets.

Justin and Ruby initially shared sweets in a ratio of 1:2. Let's represent the number of sweets Justin had as x, and the number of sweets Ruby had as 2x. After buying 20 more sweets and sharing them evenly, the new ratio is 3:4. Now, Justin has 3y sweets and Ruby has 4y sweets.

We can write two equations based on this information:

1) x + 20/2 = 3y (because Justin received half of the 20 new sweets)
2) 2x + 20/2 = 4y (because Ruby received half of the 20 new sweets)

Simplify the equations:

1) x + 10 = 3y
2) 2x + 10 = 4y

Now, we can solve these equations simultaneously to find the value of x and y:

From equation 1, x = 3y - 10

Substitute this value of x into equation 2:

2(3y - 10) + 10 = 4y
6y - 20 + 10 = 4y
6y - 10 = 4y

Rearrange the equation to solve for y:

2y = 10
y = 5

Now that we have the value of y, we can find the value of x:

x = 3y - 10
x = 3(5) - 10
x = 15 - 10
x = 5

So, Justin initially had 5 sweets.

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Answer:

5√(x^1/3-5)

Step-by-step explanation:

hey!

f(x)=(x^5 +5)^1/3

let f(x) be y

y=(x^5 +5)^1/3

now, interchanging x and y

or, x=(y^5 +5)^1/3

or, ∛x= y^5 + 5

or, x^1/3-5=y^5

or, y=5√(x^1/3-5)

therefore f^-1=5√(x^1/3-5)

hope it helps!

thank u!

False. The derivative of the function f(x) = 5sin(x) + cos(x) is not equal to -5cos(x) - sin(x). The correct derivative of f(x) can be obtained by applying the rules of differentiation.

To find the derivative, we differentiate each term separately. The derivative of 5sin(x) is obtained using the chain rule, which states that the derivative of sin(u) is cos(u) multiplied by the derivative of u. In this case, u = x, so the derivative of 5sin(x) is 5cos(x).

Similarly, the derivative of cos(x) is obtained as -sin(x) using the chain rule.

Therefore, the derivative of f(x) = 5sin(x) + cos(x) is:

f'(x) = 5cos(x) - sin(x).

This result shows that the derivative of f(x) is not equal to -5cos(x) - sin(x).

In summary, the statement that f'(x) = -5cos(x) - sin(x) is false. The correct derivative of f(x) = 5sin(x) + cos(x) is f'(x) = 5cos(x) - sin(x).

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When children create an imaginary town with various blocks and figurines, they are learning through play and engaging in important cognitive and social development processes.

1. Imagination and Creativity: Building an imaginary town involves using their imagination and creativity to create a world of their own. This helps children develop their cognitive skills by coming up with ideas, planning and problem-solving.

2. Language and Communication: During play, children may engage in pretend conversations and storytelling, which helps enhance their language skills and vocabulary. They may also negotiate and cooperate with others, improving their social communication skills.

3. Fine Motor Skills: Manipulating blocks and figurines requires the use of fine motor skills. Children practice hand-eye coordination, dexterity, and control while building and arranging their town.

4. Social Skills: Collaborating with others in creating the town encourages teamwork, sharing, and turn-taking. Children learn to negotiate, compromise, and solve conflicts, promoting social and emotional development.

5. Cognitive Development: Creating an imaginary town involves categorization, spatial awareness, and problem-solving skills. Children learn to organize and categorize blocks, create different structures, and explore cause-and-effect relationships.

In conclusion, when children engage in creating an imaginary town with blocks and figurines, they develop various skills such as imagination, creativity, language, fine motor, social, and cognitive skills. Through this play activity, children learn and grow in multiple ways, contributing to their overall development.

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Answer:

AC+CB=AB

Step-by-step explanation:

Let's see.... If you are a visual learner this could help.

\(A----------C---------------B\)

So you can see that C is right in between them so the distance between AC and the distance between CB would equal the whole line AB. So if you add AC and CB you would get AB.

Answer: -45

Step-by-step explanation:

16 divided by 8 = 2

2 divided by -1 = -2

-2 * (9(-5) = -45

Answer:

90

Step-by-step explanation:

2^4dived(2^3divide((-1)x(-45)))

2^4divide(2^3divided45)

2^4dived 2^3/45

2^4dived 8/45

2^4divied 45/8

2^4 divied 45/2^3

2+45

=90

Hope this help